MV-modules
Let \((R, v)\) be a unital \(\ell\)-ring; by applying the well-known functor \(\Gamma\) the product MV-algebra \(\Gamma(R,v)\) can be constructed. The main result of the paper consists in proving that there exists an equivalence between the category of \(\ell\)u-modules over \((R,v)\) and the category of MV-modules over \(\Gamma(R,v)\). Further, the concept of truncated module is introduced and the natural equivalence between MV-modules and truncated modules is studied.
scientific article; zbMATH DE number 1967918